
1) Issue Price of bond is equal to sum of present value of semiannual interest payments and present value of redemption value of bonds at the the end of bond life discounted at market rate (i.e. 2%).
Relevant market rate for discounting = 2%*6/12 = 1%
No. of periods = 3 years*2 semi annual period = 6 periods
Semi annual interest paid in cash in bonds = $10,000,000*4%*6/12 = $200,000
Present value of interest payments = Interest payments*PVAF(1%, 6)
= $200,000*5.7954765 = $1,159,095
Present value of redemption amount = $10,000,000*PVF(1%, 6)
= $10,000,000*0.9420452 = $9,420,452
Issue Price of Bonds = PV of interest payments+PV of redemption value
= $1,159,095+$9,420,452 = $10,579,547
2) Bond Amortization Table (Amounts in $)
| Date | Cash Payment (A) | Interest Expense (bond carrying value*1%) (B) | Amortization (C = A-B) | Unamortized (beg bal - C) | Bond Carrying Value | Bond Par Maturity Value |
| 01/01/15 | 579,547 | 10,579,547 | 10,000,000 | |||
| 06/30/15 | 200,000 | 105,796 | 94,204 | 485,343 | 10,485,343 | 10,000,000 |
| 12/31/15 | 200,000 | 104,854 | 95,146 | 390,197 | 10,390,197 | 10,000,000 |
| 06/30/16 | 200,000 | 103,902 | 96,098 | 294,099 | 10,294,099 | 10,000,000 |
| 12/31/16 | 200,000 | 102,941 | 97,059 | 197,040 | 10,197,040 | 10,000,000 |
| 06/30/17 | 200,000 | 101,970 | 98,030 | 99,010 | 10,099,010 | 10,000,000 |
| 12/31/17 | 200,000 | 100,990 | 99,010 | 0 | 10,000,000 | 10,000,000 |
3) Journal Entries (Amounts in $)
| Date | Account Titles | Debit | Credit |
| 01/01/15 | Cash | 10,579,547 | |
| Bonds Discount | 579,547 | ||
| Bonds Payable | 10,579,547 | ||
| (To record issue of bonds payable) | |||
| 06/30/15 | Interest Expense | 105,796 | |
| Bonds Discount | 94,204 | ||
| Cash | 200,000 | ||
| (To record the interest expense) | |||
| 12/31/15 | Interest Expense | 104,854 | |
| Bonds Discount | 95,146 | ||
| Cash | 200,000 | ||
| (To record the interest expense) | |||
| 06/30/16 | Interest Expense | 103,902 | |
| Bonds Discount | 96,098 | ||
| Cash | 200,000 | ||
| (To record the interest expense) | |||
| 12/31/16 | Interest Expense | 102,941 | |
| Bonds Discount | 97,059 | ||
| Cash | 200,000 | ||
| (To record the interest expense) | |||
| 06/30/17 | Interest Expense | 101,970 | |
| Bonds Discount | 98,030 | ||
| Cash | 200,000 | ||
| (To record the interest expense) | |||
| 12/31/17 | Interest Expense | 100,990 | |
| Bonds Discount | 99,010 | ||
| Cash | 200,000 | ||
| (To record the interest expense) | |||
| 12/31/17 | Bonds Payable | 10,000,000 | |
| Cash | 10,000,000 | ||
| (To record the redemption of bonds) |
the numbers i am sure if its right or wrong but i definetly need help for...
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